Hey, another math question

Step-by-step explanation:

By adjacent interior angles theorem,

If a transversal line 'r' intersects two parallel lines 'm' and 'n' then the consecutive interior angles are supplementary.

a° + (3x - 18)° = 180°

a° = 180° - (3x - 18)°

By vertical angles theorem,

If two straight lines intersect each other at a point, opposite angles formed are equal in measure.

180° - (3x - 18)° = (5x - 10)°

(5x - 10) + (3x - 18) = 180

(5x + 3x) - (10 + 18) = 180

8x - 28 = 180

8x = 180 + 28

8x = 208

x = 26

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.